We first need to factorize (if possible) the denominators:
we can see that
as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that
as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:
.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).
Step-by-step explanation:
∠1 = ∠4 = 57° (vertical angles)
∠6 = 123° (same side interior angles are supplementary)
1/5+1/7=12/35 of one room painted per hour
1 room/(12/35)=35/12 hours per room working together
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